λ
Prime Ledger

698,710

2 × 5 × 107 × 653
Deficient Even Composite

698,710 has the prime decomposition 2 × 5 × 107 × 653. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 107 × 653
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,271,376
Proper Divisor Sum 572,666
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #698701 ← → #698713

Radix Representation

Decimal 698710
Binary 10101010100101010110 (20 bits)
Octal 0o2524526
Hexadecimal 0xAA956

Divisor Catalog (16)

1 2 5 10 107 214 535 653 1,070 1,306 3,265 6,530 69,871 139,742 349,355 698,710

Collatz Trajectory (136 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

698,710 349,355 1,048,066 524,033 1,572,100 786,050 393,025 1,179,076 589,538 294,769 884,308 442,154 221,077 663,232 331,616 165,808 82,904 41,452 20,726 10,363 31,090 15,545 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352 19,676 9,838 4,919 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608

More profiles

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